Which sign makes the statement true? 7/10 1/2

1 answer

To determine which sign makes the statement true when comparing \( \frac{7}{10} \) and \( \frac{1}{2} \), we can convert \( \frac{1}{2} \) to have a common denominator with \( \frac{7}{10} \).

  1. \( \frac{1}{2} \) can be converted to have a denominator of 10:
    \[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \]

  2. Now we can compare \( \frac{7}{10} \) and \( \frac{5}{10} \).

Since \( 7 > 5 \), we have:
\[ \frac{7}{10} > \frac{1}{2} \]

So, the statement \( \frac{7}{10} , ? , \frac{1}{2} \) is true with the greater-than sign (\( > \)): \[ \frac{7}{10} > \frac{1}{2} \]